level 1/level 2 gcse (9 - 1) mathematics - weebly · 2019. 10. 17. · centre umber candidate umber...
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Centre Number Candidate Number
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Paper Reference
S57495A©2017 Pearson Education Ltd.
6/7/2/2/4/4/*S57495A0124*
MathematicsPaper 3 (Calculator)
Foundation TierMock Set 3 – Autumn 2017Time: 1 hour 30 minutes 1MA1/3FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• You must show all your working.• Diagrams are NOT accurately drawn, unless otherwise indicated.• Calculators may be used. • If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 3
5 of the people at a tennis club are women.
The rest of the people are men.
What fraction of the people are men?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Change 350 centimetres into metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . metres
(Total for Question 2 is 1 mark)
3 Here is a list of fractions.
3
9
5
15
7
21
9
30
15
45
One of these fractions is not equivalent to 1
3
Which fraction?
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(Total for Question 3 is 1 mark)
4 Oneeveningthetemperaturewas−7°C. Bymidnightthetemperaturehaddroppedby5°C.
What was the temperature at midnight?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°C
(Total for Question 4 is 1 mark)
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5 Here is part of a train timetable from Lostock to Preston.
Lostock 0746 0816 0846 0857
Horwich 0750 08 20 08 39 08 50 09 01
Blackrod 0753 08 53
Adlington 0757 08 25 0857
Chorley 08 02 08 30 0847 09 02 09 09
Buckshaw 0806 08 33 09 05
Leyland 08 15 0840 09 12
Preston 08 20 0849 08 59 0917 09 22
(a) Howlongshouldthe0746traintaketogofromLostocktoBuckshaw?
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Ariz wants to go from Horwich to Leyland by train. He gets to the station at Horwich at 08 30
(b) What is the earliest time he can get to Leyland?
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(1)
Mike wants to go from Blackrod to Preston by train. He needs to get to Preston by 09 25
(c) What is the latest train he can get from Blackrod?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 3 marks)
6 1 kg = 2.2 pounds
Change 319 pounds to kg.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . kg
(Total for Question 6 is 2 marks)
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7 Mary, Bianka and Steve are picking apples.
Marypicks264apples.
1
6 of these apples are green.
Bianka picks 150 apples. 28% of these apples are green.
Stevepicks340apples. 15% of these apples are green.
Who picks the most green apples? You must show all of your working.
(Total for Question 7 is 4 marks)
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8 Sharon asked each of her friends to name their favourite Olympic sport.
The table below shows information about their answers.
Sport Frequency
athletics 13
cycling 17
swimming 8
gymnastics 7
Draw an accurate pie chart for this information.
(Total for Question 8 is 3 marks)
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9 Here is a number machine.
input ´6 +7 output
(a) Findtheoutputwhentheinputis6
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b)Findtheoutputwhentheinputis−4
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(1)
(c) Findtheinputwhentheoutputis79
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(2)
(Total for Question 9 is 4 marks)
10 400gofraspberriesand300gofstrawberriescostatotalof£7.46 500gofstrawberriescost£4.10
Work out the total cost of 200 g of raspberries and 200 g of strawberries.
£. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 10 is 4 marks)
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11
x
y4
3
2
1
1 2 3 4O
–1
–2
–3
–4
–4 –3 –2 –1
D
C
Describe fully the single transformation that maps triangle C onto triangle D.
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(Total for Question 11 is 2 marks)
12 Put a pair of brackets in each statement to make the statement true.
(i) 2 ´72−2=94
(1)
(ii)16÷2+6+2=4
(1)
(Total for Question 12 is 2 marks)
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13 Here is a shape made from a rectangle and a triangle.
7 cm
9 cm
15 cm
22 cm
Work out the total area of the shape.
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(Total for Question 13 is 3 marks)
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14 On the grid, draw the graph of y = 2x – 2 for values of xfrom−3to3
x
y5
4
3
2
1
1 2 3O
–1
–2
–3
–4
–5
–6
–7
–8
–2–3 –1
–9
(Total for Question 14 is 3 marks)
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15 (a) Work out 4 36 2 8
6 8 5 42
3. .
. .
+−
Give your answer as a decimal. Write down all the digits on your calculator display.
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(2)
(b) Give your answer to part (a) correct to 1 decimal place.
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(1)
(Total for Question 15 is 3 marks)
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16 Thetableshowsinformationaboutthenumberofchildrenineachof40families.
Number of children Frequency
0 6
1 13
2 12
3 7
4 2
5 or more 0
(a) Find the median number of children.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out the total number of children.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 16 is 3 marks)
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17 (a) Expand 2a(a+7)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b)Factorise14b−7
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(1)
(c) Solve 9(c–6)=63
c =.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(d) Simplify 3y2 ´4y3
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(1)
(Total for Question 17 is 5 marks)
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18 Clairebuysanewcarfor£5700
She pays a deposit of 12% She then pays the rest of the cost in 15 equal monthly payments.
How much is each monthly payment?
£. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
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19 (a)Write168asaproductofitsprimefactors. You must show your working.
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(3)
(b)Findthehighestcommonfactor(HCF)of168and180
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(2)
(Total for Question 19 is 5 marks)
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20 Eric and Geraldine both drove from town A to town B.
route 136.4miles
town A
route 265.2miles
town B
Both Eric and Geraldine left town A at 2 pm.
Eric drove on route 1 He got to town Bat248pm.
Geraldine drove on route 2 She got to town B at 3 25 pm.
Who drove at the greater average speed? You must show all your working.
(Total for Question 20 is 3 marks)
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21 Here is an accurate scale drawing of a school playground.
A
D
B
C
1 cm represents 2 m
Nasim is going to put a seat in the playground.
The seat has to be
less than 9 m from C closer to BC than to AB morethan4mfromAB
Show, by shading on the diagram, the region where Nasim can put the seat.
(Total for Question 21 is 4 marks)
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22 There are only red counters, blue counters and green counters in a bag.
numberofredcounters:numberofbluecounters:numberofgreencounters=1:3:7
A counter is going to be taken at random from the bag.
(a) Complete the table below to show each of the probabilities that the counter will be red or blue or green.
Colour red blue green
Probability
(2)
Jamie takes at random a counter from the bag and records the colour of the counter. He then puts the counter back in the bag.
Jamie does this a number of times. Herecordsatotalof68bluecounters.
(b) Work out an estimate for the total number of times Jamie takes a counter from the bag.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 22 is 4 marks)
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23 Maryam is trying to expand and simplify (n – 2)2
Here is her working.
(n – 2)2 = (n – 2)(n – 2)
= n2 – 2n – 2n–4
= n2–4n–4
Maryam’s answer is wrong.
(a) Find Maryam’s mistake.
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(1)
Josh is trying to factorise x2–6x + 8 His reasoning is,
because4´ 2 = 8 and4+2=6
then x2–6x + 8 = (x+4)(x + 2)
(b) Explain what is wrong with Josh’s reasoning.
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Shona has to draw the line with equation y = 3x + 2 Here is her line.
O x
y
y = 3x + 2
(c) Explain why Shona’s line cannot be correct.
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(1)
(Total for Question 23 is 3 marks)
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24 The diagram shows a quadrilateral JKLM.
4.5cm
7cm
15 cm
J K
M
L
Work out the size of angle KLM. Give your answer correct to 3 significant figures.
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(Total for Question 24 is 4 marks)
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25 Neilboughtahousefor£235000
Inthefirstyearthevalueofthehousedepreciatedby4% Ineachofyears2and3thevalueofthehouseincreasedby6%
Work out the value of the house at the end of year 3
£. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 3 marks)
26 (a)Write2.673´ 104 as an ordinary number.
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(b)Write0.0704instandardform.
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(c) Calculate(4.515´ 106)÷(3.01´ 10−2) Give your answer in standard form.
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(2)
(Total for Question 26 is 4 marks)
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27 Here are four graphs.
Each of the equations in the table is the equation of one of the graphs.
Complete the table.
Equation Letter of graph
y = x2−7
y = 3 – 2x
y = 2x + 3
y = 1x
(Total for Question 27 is 2 marks)
TOTAL FOR PAPER IS 80 MARKS
Graph B
y
O x
Graph D
y
O x
Graph C
y
O x
Graph A
y
O x
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